单调递增分形函数上、下界的估计

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 188-194.

单调递增分形函数上、下界的估计

College of Mathematics and Information Science,Henan Normal University

收稿日期:2005-04-28 出版日期:2008-06-30 发布日期:2023-09-27
作者简介: MA Guan-zhong(1975-), male, native of Xiangcheng, Henan, a lecturer of Henan Normal University, M.S.D., engages in fractal theory with application and approximation theory with applications.
基金资助:
Supported by the Youth Science Foundation of Henan Normal University(521103)

Upper Bound and Lower Bound Estimate of Monotone Increasing Fractal Function

College of Mathematics and Information Science,Henan Normal University

Received:2005-04-28 Online:2008-06-30 Published:2023-09-27
About author: MA Guan-zhong(1975-), male, native of Xiangcheng, Henan, a lecturer of Henan Normal University, M.S.D., engages in fractal theory with application and approximation theory with applications.
Supported by:
Supported by the Youth Science Foundation of Henan Normal University(521103)

摘要/Abstract

摘要： Mass distribution principle is one of important tools in studying Hausdorff dimension and Hausdorff measure. In this paper we will give a numerical approximate method of upper bound and lower bound of mass distribution function f(x)(it is a monotone increasing fractal function) and its some applications.

关键词: fractal, mass distribution function, iterated function system, piecewise antiBezier curve

Abstract: Mass distribution principle is one of important tools in studying Hausdorff dimension and Hausdorff measure. In this paper we will give a numerical approximate method of upper bound and lower bound of mass distribution function f(x)(it is a monotone increasing fractal function) and its some applications.

Key words: fractal, mass distribution function, iterated function system, piecewise antiBezier curve

中图分类号:

O174.12

马冠忠, 袁瑰霞, 崔振文. 单调递增分形函数上、下界的估计[J]. 数学季刊, 2008, 23(2): 188-194.

MA Guan-zhong, YUAN Gui-xia, CUI Zhen-wen. Upper Bound and Lower Bound Estimate of Monotone Increasing Fractal Function [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 188-194.

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